How should a speaker handle a question they do not know the answer to during a presentation?

When a speaker encounters a question they do not know the answer to during a presentation, the most appropriate course of action is to admit they do not know and offer to follow up later. This approach demonstrates integrity and honesty, qualities that are essential for establishing credibility with the audience. By acknowledging their limitations, the speaker fosters an environment of trust and respect.

Moreover, offering to follow up later shows that the speaker values the audience's inquiry and is committed to providing accurate information, which enhances audience engagement. This also allows the speaker to take the time to research or consult the appropriate resources to provide a well-informed and thorough answer after the presentation.

By contrast, attempting to make up a response can lead to misinformation and damage the speaker's credibility. Ignoring the question or dismissing it as unimportant may alienate audience members who are curious or concerned about the topic, and it can create a perception of indifference or a lack of expertise.